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Finding the Fourth Proportional to 5,660.82, 7,813.26 and 3,772.44

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Solution

The fourth proportional to 5,660.82, 7,813.26 and 3,772.44 is: 5,206.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.82 : 7,813.26 = 3,772.44 : x
  2. Step 2: Convert to fraction form
    5,660.82/7,813.26 = 3,772.44/x
  3. Step 3: Cross multiply
    5,660.82x = 7,813.26 × 3,772.44
  4. Step 4: Simplify right side
    5,660.82x = 29,475,054.55
  5. Step 5: Solve for x
    x = 29,475,054.55/5,660.82
  6. Step 6: Final answer
    x = 5,206.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.